We look at the division of 585934 by 26 
We want to figure out the number of times 585934 can be divided by 26.

Let's proceed to step 1:
26 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 26

Going ahead to step 2:
The number 26 fits into 58 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 52 from 58 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 26

Going ahead to step 3:
26 goes into 65 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtract 52 from 65 to get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 26

On to step 4:
26 goes into 139 5 times with a remainder of 9.
The next digit of our result is 5. 
Result so far: 225.0
Subtracting 130 from 139 leaves us with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 26

Step 5:
26 can be fit into 93 3 times, resulting in a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 2253.0
If we take 78 away from 93, we end up with 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 26

Advancing to step 6:
The number 26 fits into 154 5 times, leaving a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 22535.0
The remainder is 24 after subtracting 130 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 22535.9
If we take 234 away from 240, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
When dividing 60 by 26, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 22535.92
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
26 goes into 80 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 22535.923
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
The number 26 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 22535.923
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
The number 26 fits into 200 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 22535.92307
If we take 182 away from 200, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
180 divided by 26 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 22535.923076
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 13:
240 divided by 26 is 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 22535.9230769
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
If we divide 60 by 26, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 22535.92307692
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 22535.92307692, and the remainder is 8e-09.